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Relaxation #40

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A new branch for implementing a relaxation method to obtain phi in a steady state solution

johnomotani and others added 30 commits November 4, 2019 16:32
Versions of Hypnotoad newer than 1.1.3 generate output that can take
into account whether "shifted" or "identity" parallel transforms are
used. The option should be set to generate a grid file for "shifted" to
be compatible with Hermes. In this case the curvature vector is
generated by Hypnotoad with no contribution from integrated shear, so
the correction applied by Hermes to remove the integrated shear
contribution from the curvature vector should be skipped. This commit
adds a check of the "parallel_transform" variable in the grid file (if
not present indicates that an old enough version of Hypnotoad was used
that the correction is needed), and applies the correction if the grid
file was generated for 'parallel_transform == "identity"', skips it if
'parallel_transform == "shifted"' and throws an exception due to an
unrecognized value for 'parallel_transform' otherwise.
Used dx rather than dy to calculate diffusion and viscosity.
Copied over from diffusion2d neutral model.
…hypnotoad-compatibility

Add check for gridfile generated by new versions of Hypnotoad
Include diffusion of NVn in preconditioner
Thanks to S.Mordijck for the fix.
Newer grid files use "shiftedmetric" rather than "shifted".
Now allows either in check for compatible grid files.

Thanks to @wphu for the fix

Fixes issue bendudson#12
Sets a minimum density to be used in the sheath boundary conditions.
Other sources zeroed, but Spi was not.
The original switch, adapt_sources, now provides the default
value for two new switches: adapt_source_p and adapt_source_n
If temperature varies across the domain, this can lead to electric
fields along the boundary, and so radial ExB flows through the
boundary. This fix sets the radial boundary to the Z average (DC).
Another way to avoid negative densities/pressures, by extrapolating
the logarithm of density and pressure.
Should set zero gradient boundary condition on phi.
- Remove averaging in Y, except in the core closed field-line region.
- Add a switch radial_core_averagey to turn on/off this averaging in the core
- Modify treatment of NVi to be similar to the other fields, rather than damping
  to zero.
Prevent atomicpp.a being checked in accidentally.
Thanks @hahahasan ! Accidentally using Vort rather than NVi in
outer boundary.
Catch problems in future if new sheath models are added
but heat flux code is not updated.
Should be Neumann boundary condition, was set to tesheath.
In most cases this should be the same, but not when te gets
very low.
Similar to what is used in STORM, relax the radial boundary value of
phi towards zero-gradient on a given timescale.
When the boundary is modified, the `phi_boundary_last_update`
time needs to be set.
The INVERT_SET flag takes the value from the guard cell,
then sets this value on the boundary between cells. This results
in an unstable solution if the guard cells are then put back
in as the new boundary value.

With this fix, the old value of the boundary is taken from the
midpoint, and then put into the guard cell. Hopefully this is
consistent with how the value is used in the Laplacian inversion.
- Need to move phi boundary values from cell midpoint to boundary cell
  every time the solver is called.
- Need to include Pi in the solve, because Pi is subtracted from the
  result (Boussinesq approximation)
I don't think this should be necessary, but it seems to be.
Without setting phi in the outermost boundary cells (+2, -2)
the time advance eventually fails to converge. When this failure
occurs all fields seem to be well behaved except these outer boundary
cells which contain large (1e200) values.

With this change no such failures seem to happen (so far)
bendudson and others added 30 commits December 10, 2020 14:04
Merge settings with tokamak/2-currents
- Time stepping stability issues. Restricting CVODE to low order
  or it tends to crash eventually and then restart ok

- Relaxing phi on both boundaries

- Boundary relaxation regions on both radial boundaries
Loosely based on LAPD parameters
An input power of about 1.7 kW. Seems to settle on densities
about 5e17 m^-3 and electron temperature about 3eV.
Integrates the sources over the domain, printing in SI units.
Hopefully fixes Github formatting.
Previous input went to steady state with no fluctuations.
This change makes the sources more peaked, and results in
growing modes then saturated fluctuations.
Enables simulations to be run from inside that directory.
Seems to be enough to stabilise turbulent stage of the simulation.
Sets zero-gradient on temperature. Now using the same
method as in sheath model 1.
Determines when the sheath current should be
turned off as unphysical. If nesheath_floor is larger
than 1e-10 then this condition would never be true.
Use the larger of the Alfven speed or electron sound speed,
capped at an upper limit of 100x reference, or light speed in vacuum.

This stabilises parallel zig-zags seen near the target in low density,
low pressure regions.
If Pe is floored to a non-zero value in these terms, then
energy can continue to be extracted from a zero (or negative) pressure
region.
Almost never what is wanted, so shouldn't be true by default.
Added some documentation.
Modify ramp_mesh to be false by default
Missing parameter in help message. Now using f-string.
Script to set profiles in tokamak grid files.
Explain what the profiles are used for, and how to set them using the script.
Make 2D plots, plots along the targets, and volume integrals
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5 participants